Answer:
Explanation:
Lets just say the amount her mom gave her is c
and the months is a
the equation would be
c + 25a = 250
we can plug in 8 for a, cause we know its been 8 months,
c + 25(8)= 250
then do the parentheses
c + 200 = 250
subtract the 200 to isolate the variable c
c = 50
then you get c = 50,
Karen's mom gave her a check for $50.
(why karen btw. i would never give $50 to a karen)
The linear equation to calculate the amount from Karen's mother is
A + 25x = 250
where A is the amount and x is the number of months
The amount from Karen's mother is $ 50
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the amount given to Karen by her mother be = A
Let the total number of months be = x
The value of x is = 8 months
The total amount Karen has after 8 months = $ 250
The amount Karen saves per month = $ 25
Now , the equation will be
Total amount Karen has after 8 months = amount given to Karen by her mother + ( amount Karen saves per month x total number of months )
Substituting the values in the equation , we get
250 = A + 25x
On simplifying the equation , we get
A + 25x = 250
when x = 8
A + 25 ( 8 ) = 250
A + 200 = 250
Subtracting 200 on both sides of the equation , we get
A = $ 50
Therefore , the value of A is $ 50
Hence , The linear equation to calculate the amount from Karen's mother is A + 25x = 250
where A is the amount and x is the number of months
The amount from Karen's mother is $ 50
To learn more about equations click :
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Hanna is recovering hundreds of treasure chests from an ancient shipwreck. She is able to recover 8 chests
every 4 hours.
Complete the table using equivalent ratios.
Treasure chests
Hours
8
4
6
10
Plz help I have this and i am being timed
Answer:
i think it is -1/2
Answer:
[tex] -\dfrac{13}{18} [/tex]
Step-by-step explanation:
[tex] -\dfrac{8}{9} - (-\dfrac{1}{6}) = [/tex]
[tex] = -\dfrac{8}{9} + \dfrac{1}{6} [/tex]
[tex] = -\dfrac{16}{18} + \dfrac{3}{18} [/tex]
[tex] = -\dfrac{13}{18} [/tex]
Find the equation, function and describe. (100 points)
X
1
2
3
4
5
6
7
Y
5
2.5
1.6667
1.25
1
.83333
.71429
Answer:
257890 is the function of the equation
Step-by-step explanation:
mark me BRAINLIEST
Which of the following statements is true for all sets A,B and C? Give a proof
or a counter example.
(a) A ⊆ ((A∩B)∪C).
(b) (A∪B)∩C = (A∩B)∪C.
(c) (A\B)∩C = (A∩C) \ (B∩C).
Answer:
(a) and (b) are not true in general. Refer to the explanations below for counterexamples.
It can be shown that (c) is indeed true.
Step-by-step explanation:
This explanation will use a lot of empty sets [tex]\phi[/tex] just to keep the counterexamples simple.
(a)Note that [tex]A \cap B[/tex] can well be smaller than [tex]A[/tex]. It should be alarming that the question is claiming [tex]A\![/tex] to be a subset of something that can be smaller than [tex]\! A[/tex]. Here's a counterexample that dramatize this observation:
Consider:
[tex]A = \left\lbrace 1 \right\rbrace[/tex].[tex]B = \phi[/tex] (an empty set, same as [tex]\left\lbrace \right\rbrace[/tex].)[tex]C = \phi[/tex] (another empty set.)The intersection of an empty set with another set should still be an empty set:
[tex]A \cap B = \left\lbrace 1\right\rbrace \cap \left\lbrace\right\rbrace = \left\lbrace\right\rbrace[/tex].
The union of two empty sets should also be an empty set:
[tex]((A \cap B) \cup C) = \left\lbrace\right\rbrace \cup \left\lbrace\right\rbrace = \left\lbrace\right\rbrace[/tex].
Apparently, the one-element set [tex]A = \left\lbrace 1 \right\rbrace[/tex] isn't a subset of an empty set. [tex]A \not \subseteq ((A\cap B) \cup C)[/tex]. Contradiction.
(b)Consider the same counterexample
[tex]A = \left\lbrace 1 \right\rbrace[/tex].[tex]B = \phi[/tex] (an empty set, same as [tex]\left\lbrace \right\rbrace[/tex].)[tex]C = \left\lbrace 2 \right\rbrace[/tex] (another empty set.)Left-hand side:
[tex](A \cup B) \cap C = \left(\left\lbrace 1 \right\rbrace \cup \left\lbrace \right\rbrace\right) \cap \left\lbrace 2 \right\rbrace\right = \left\lbrace 1 \right\rbrace \cap \left\lbrace 2 \right\rbrace = \left\lbrace \right\rbrace[/tex].
Right-hand side:
[tex](A \cap B) \cup C = \left(\left\lbrace 1 \right\rbrace \cap \left\lbrace \right\rbrace\right) \cup \left\lbrace 2 \right\rbrace\right = \left\lbrace \right\rbrace \cup \left\lbrace 2 \right\rbrace = \left\lbrace 2 \right\rbrace[/tex].
Apparently, the empty set on the left-hand side [tex]\left\lbrace \right\rbrace[/tex] is not the same as the [tex]\left\lbrace 2 \right\rbrace[/tex] on the right-hand side. Contradiction.
(c)Part one: show that left-hand side is a subset of the right-hand side.
Let [tex]x[/tex] be a member of the set on the left-hand side.
[tex]x \in (A \backslash B) \cap C[/tex].
[tex]\implies x\in A \backslash B[/tex] and [tex]x \in C[/tex] (the right arrow here reads "implies".)
[tex]\implies x \in A[/tex] and [tex]x \not\in B[/tex] and [tex]x \in C[/tex].
[tex]\implies (x \in A\cap C)[/tex] and [tex]x \not\in B \cap C[/tex].
[tex]\implies x \in (A \cap C) \backslash (B \cap C)[/tex].
Note that [tex]x \in (A \backslash B) \cap C[/tex] (set on the left-hand side) implies that [tex]x \in (A \cap C) \backslash (B \cap C)[/tex] (set on the right-hand side.)
Therefore:
[tex](A \backslash B) \cap C \subseteq (A \cap C) \backslash (B \cap C)[/tex].
Part two: show that the right-hand side is a subset of the left-hand side. This part is slightly more involved than the first part.
Let [tex]x[/tex] be a member of the set on the right-hand side.
[tex]x \in (A \cap C) \backslash (B \cap C)[/tex].
[tex]\implies x \in A \cap C[/tex] and [tex]x \not\in B \cap C[/tex].
Note that [tex]x \not\in B \cap C[/tex] is equivalent to:
[tex]x \not \in B[/tex], OR[tex]x \not\in C[/tex], ORboth [tex]x \not\in B[/tex] AND [tex]x \not \in C[/tex].However, [tex]x \in A \cap C[/tex] implies that [tex]x \in A[/tex] AND [tex]x \in C[/tex].
The fact that [tex]x \in C[/tex] means that the only possibility that [tex]x \not\in B \cap C[/tex] is [tex]x \not \in B[/tex].
To reiterate: if [tex]x \not \in C[/tex], then the assumption that [tex]x \in A \cap C[/tex] would not be true any more. Therefore, the only possibility is that [tex]x \not \in B[/tex].
Therefore, [tex]x \in (A \backslash B)\cap C[/tex].
In other words, [tex]x \in (A \cap C) \backslash (B \cap C) \implies x \in (A \backslash B)\cap C[/tex].
[tex](A \cap C) \backslash (B \cap C) \subseteq (A \backslash B)\cap C[/tex].
Combine these two parts to obtain: [tex](A \backslash B) \cap C = (A \cap C) \backslash (B \cap C)[/tex].
what is d divided by equals
Answer: X and Y
Step-by-step explanation: IF I REMEMBER dont get mad if you don’t get it right
5. A boat traveled 27 miles in 2 hours. At this rate, how many miles will the boat travel in 4 hours?
What is the Scale Factor going from the larger figure to the smaller figure?
Answer:
0.25
Step-by-step explanation:
scale factor=md/od
=0.5/2
0.25
To find 2.43 x 7.5, multiply__*_. Then, place the decimal point in the product to show
decimal places. PLEASE BRAINILY HELPPP
Answer:
16.825 is the answer for your question
HELP WILL GIVE BRAINLIEST to best answer
Answer:
A,B,C,D
Step-by-step explanation:
They are all the same equation on both sides of the equal sign and sense the variable is x on all of them whatever number you put on one side you have to put it on the other side therefore resulting in any solution you could think of.
Solve the following inequality -9/2x grater then or equal to -1/4
Answer:
Did you mean [tex]\frac{-2x}{9} ?\\[/tex]
Please clarify so that I can work this problem out for you :)
Step-by-step explanation:
Use the factor theorem to determine which of the following is a factor of f(x)=x^3+5x2-15x+9
x-2
x+1
x-1
x+2
show work please
x+2
Step-by-step explanation:
x+2
If x = –2 is a zero, then x + 2 = 0, so x + 2 is a factor. Similarly, if x = 1/3 is a zero, then x – 1/3 = 0, so x – 1/3 is a factor. By giving me two of the zeroes, they have also given me two factors: x + 2 and x – 1/3.
How to solve ?? 3 (3z-6)=0
Answer:
Step-by-step explanation:
3(3z-6)=0
multiply your three with the 3z and the -6
9z-18=0
figure out what - 18 = 0
9z=18
9*2=18
z=2
hope this helps
Based on the information marked in the diagram, ABC and DEF must be congruent.
True Or False?
Applying the HL congruence theorem, the information marked in the diagram cannot be congruent, so it is FALSE.
What is the HL Congruence Theorem?The HL congruence theorem states that if the corresponding legs of two right traingles are congruent, and the their hypotenuse are also congruent, then the triangles are congruent.
From the information given, we are not told if the hypotenuse of the right triangles are congruent, so we can't apply the HL congruence theorem to prove they are congruent. The answer is FALSE.
Learn more about the HL congruence theorem on:
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Please help me! I really need help with this question!! I need 1-19! I don’t need 2 though
Answer:
1) 122°
2) 58°
3) 60°
4) 120°
5) 58°
6) 62°
7) 60°
8) 58°
9) 62°
10) 60°
11) 58°
12) 122°
13) 120°
14) 60°
15) 62°
16) 58°
17) 122°
18) 122°
19) 58°
Step-by-step explanation:
Basically Angle Relationships
Each Angle all matches to a different Angle due to their same degree. It is kind of confusing at first but really easy when you understand it and look at it with pacience.
This took so long lol. I really hope it helps! :D
Write an equation in slope-intercept form for the line that passes through (1,-2) and (3, 7)
Answer:
y=9/2x -13/2
Step-by-step explanation:
i used a calculator i hope its right
Are these relations functions?
Answer:
Letter B is yes because if you use the vertical line test, never anytime the vertical line intersect the graph in more than one point.
Determine the intercepts of the line
X-intercept: (__ , __)
Y-intercept: (__, __)
Sloan was told to written paper of a science experiment should Express measurements and leaders 1.26 gallon 11.05 courts 14.2 to cups which shows how to calculate the number of liters he use if he use 5 cups of water divided by 5 4.22 divide 5 by 1.05 or multiply 5 by 1.05
Answer:
Multiply 5 by 4.22 because 5 cups of water is 4.22 liters
whats 9×9 how do you get the answer
Answer:
9 × 9 = 81
This is basic 12x12 tables math
Answer:
81
Step-by-step explanation:
you just take 9 and times it by 8 and you get 81
ent
Use the interactive to find an expression equivalent to
4x - 4 - 2x + 3.
O 2x - 1
O 6x - 1
O 2x - 7
O-2x + 3
Please hurry help
Answer:
it's A
Step-by-step explanation:
2x - 1
I put b and got it wrong
Find the value of x
[tex]8x + 40 = 120[/tex]
Subtract sides -40
[tex]8x + 40 - 40 = 120 - 40[/tex]
[tex]8x = 80[/tex]
Divided sides by 8
[tex] \frac{8}{8}x = \frac{80}{8} \\ [/tex]
[tex]x = 10[/tex]
Done .....♥️♥️♥️♥️♥️
A study was conducted to analyze the amount of time spent sitting at a desk for employees over a work day. The time spent sitting was recorded for a large sample of employees and found to follow a bell-shaped distribution with a mean of about 280 minutes. The smallest amount of time was 100 minutes and the largest amount of time was 460 minutes. Unfortunately, the standard deviation was not reported in the summary. Which of the following represent the most appropriate value for that standard deviation?
A. Options 60 minutes
B. 90 minutes
C. 180 minutes
D. 360 minutes
Graph the line with this equation.
y= 2x + 2
Answer: it would be 2 to the right and 2 up
Step-by-step explanation:
2 right 2 up
Qs bisect PQR and MRSQ =71
Answer: If ∡PQR = 82°, and the ray QS bisects it, it cuts ∡PQR into two equal halves, ∡PQS and ∡RQS, each of which is then 82/2, or 41°.
Alyssa wants to put a wallpaper border around the top of her bedroom walls. Her room is rectangular and is 12ft long, 11 ft wide, and 8 ft tall.
Answer:
Alyssa needs 1056 cubed feet of wallpaper.
Step-by-step explanation:
Its just 12 times 11 times 8 to find the volume.
Y’all pls help me i have to turn this tonight
What is the estimated age of Earth?
Answer:
4.543 billion years i think, i apologize if im wrong
Step-by-step explanation:
Answer:
4.54 billion years
Step-by-step explanation:
Scientists use the layers of rock of the Earth's crust/core to estimate how old is the earth.
John is saving money for a digital camera
that cost $490. So far, he saved $175. If
he will save $50 per week, how many more
weeks does he need to save to buy the
camera? Which of the following
represents the right inequality?
Answer
7 weeks
Step-by-step explanation:
$490 - $175 = $315
John needs $315 still for the camera
divdie $315 by $50 and you get 6.3 but because it cant be 6 weeks he would be short $15 you would have to wait an additional week in order to cover the cost of the camera completly.
Brainliest please!!!!
Help? Only right answers get thanks and five stars.
Find the slope......
Answer:
Step-by-step explanation:
